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Solve a quadratic equation by completing the square

Free printable Algebra 2 math worksheet for "Solve a quadratic equation by completing the square" — practice quadratic equations and inequalities. No-prep, print or assign online.

This worksheet provides targeted practice for students to master solving quadratic equations by completing the square. Teachers can use it to reinforce algebraic manipulation skills and deepen understanding of quadratic functions. Ideal for Algebra 2 classrooms, it supports skill development in solving complex quadratic equations and preparing for higher-level problem solving.

Math
Algebra & Functions
High School
Worksheets
Ages 14–18
hard

Learning objectives

  • Apply the method of completing the square to transform quadratic equations into perfect square trinomials.
  • Solve quadratic equations by isolating the variable after completing the square.
  • Analyze quadratic equations to determine the number and nature of their solutions using the completed square form.

How to use this worksheet

  1. Click “Download Worksheet” and sign in with Google or email to get the PDF instantly.
  2. Print at home or in class for High School; it's no-prep, with no extra materials needed.
  3. Hand it out as classwork, homework, or a quick warm-up.

Frequently asked questions

Is the “Solve a quadratic equation by completing the square” worksheet free?

Yes. “Solve a quadratic equation by completing the square” is a free printable Math worksheet. Sign in with Google or email to download the PDF instantly.

What grade or age is this Math worksheet for?

It's designed for High School (ages 14–18), covering Quadratic equations and inequalities.

Do I need to prep anything?

No. It's a no-prep, print-and-go worksheet — just download and hand it out.

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